Dynamic Traffic Reconstruction using Probe Vehicles

Matthieu Barreau, Anton Selivanov, Karl Henrik Johansson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations


This article deals with the observation problem in traffic flow theory. The model used is the quasiilinear viscous Burgers equation. Instead of using the traditional fixed sensors to estimate the state of the traffic at given points, the measurements here are obtained from Probe Vehicles (PVs). We propose then a moving dynamic boundary observer whose boundaries are defined by the trajectories of the PVs. The main result of this article is the exponential convergence of the observation error, and, in some cases, its finite-time convergence. Finally, numerical simulations show that it is possible to observe the traffic in the congested, free-flow, and mixed regimes provided that the number of PVs is large enough.
Original languageEnglish (US)
Title of host publication2020 59th IEEE Conference on Decision and Control (CDC)
Number of pages6
ISBN (Print)9781728174471
StatePublished - Dec 14 2020
Externally publishedYes


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